Question

The equation 0.24x - 0.74 = - 1.1 is solved as follows. Fill in the correct numbers to complete the solution

0.24x - 0.74 = 1.1

0.24x = _ Add 0.74 to both sides

x = _ Divide both sides by 0.24

Answer 1

Let’s solve the equation step by step:

Starting with the original equation:

\[ 0.24x - 0.74 = -1.1 \]

To rewrite it as you've shown, it seems there is a small typo in the first line of your solution process; it should actually be:

\[ 0.24x - 0.74 = -1.1 \]

Next, we need to add \( 0.74 \) to both sides:

\[ 0.24x = -1.1 + 0.74 \]

Calculating the right side:

\[ -1.1 + 0.74 = -0.36 \]

So, we have:

\[ 0.24x = -0.36 \]

Now, we divide both sides by \( 0.24 \):

\[ x = \frac{-0.36}{0.24} \]

Calculating that gives:

\[ x = -1.5 \]

So, filling in your blanks, we get:

1. \( 0.24x = -0.36 \) (after adding \( 0.74 \) to both sides)
2. \( x = -1.5 \) (after dividing both sides by \( 0.24 \))

Thus, the complete solution would look like this:

\[ 0.24x - 0.74 = -1.1 \]

\[ 0.24x = -0.36 \quad \text{(Add 0.74 to both sides)} \]

\[ x = -1.5 \quad \text{(Divide both sides by 0.24)} \]